A Very Brief Glossary
Various defined entities also have mathematically predicted higher forms, often denoted by a *, or the terms "higher" or "hyper" or "ultra" such as hyper(higher)-deduction, higher-language and ultralogic. The generally defined notions of GID-design, GID-intelligence, among others, includes these predicted higher-forms.
AGENT. Any entity that takes an active role and/or produces specific results.
AGENCY. Action. An action that produces a specific effect(s).
ANALOGUE MODEL. For physical or other types of defined entities and behavior, analogue models use various techniques to represent such entities, via distinctly different objects, and to rationally model behavior that mimics the behavior of the entities, behavior that, in numerous cases, we apparently cannot otherwise comprehend. Analogue models may use unobservable entities or unobservable behavior to predict behavior for observable entities.
COSMOGONY = GENERAL COSMOGONY.
CREATIONARY SCIENCE. Under the general definition for a science, creationary science uses recognized methods for scientific investigation to rationally predict behavior or presents evidence that satisfies major aspects of the Biblical Genesis 1 creation scenario.
DEDUCTIONS = INFERENCES = CONCLUSIONS = CONSEQUENCES. For a specific type of general language expressions and a set of such expressions A, a specific type of deduction is a clear, precise and fixed set of general language described rules that are mentally applied to members of A and that yield general language expressions. For logic-systems, this is the process of obtaining a result by the applying the logic-system algorithm.
DEVELOPMENTAL PARADIGM. Using a general language, this is a double sequence of linguistic descriptions, diagrams, reproducible sensory information, as well as images that depicts the sequential development of various systems that comprise a universe. It corresponds in a one-to-one manner to the "events" being depicted.
DIRECT EVIDENCE. This is evidence for physical entities or physical behavior that can be directly perceived by human or machine sensors.
EVENT. This is a real or ultranatural occurrence of an entity or behavior that is being described by a string of standard or nonstandard symbols or images. Events, in general, are considered to exist external to any description that depicts them. However, when the term is used for aspects of the GGU-model, its meaning can be contextual controlled. In certain cases, it carries a dual meaning of the description or the real entity or real behavior being depicted. See physical-event.
GENERAL COSMOGONY. The dictionary term for "cosmogony" states that it is relative to "our" present universe. The GGU-model is usually termed as merely a cosmogony. However, it is a general cosmogony in that its processes are not restricted to our universe and its "physical laws." The processes can produce infinitely many distinct "universes."
GENERAL GRAND UNIFICATION MODEL (GGU-MODEL). This mathematical model solves the General Grand Unification Problem. It is a collection of statements written in a special language that gives a description for processes and entities that exist logically in the Nonstandard Physical World (NSP-world) and that produce universes or alter their development. The GGU-model can also be used for other purposes. Depending upon the context, this can refer to the original GGU-model or the complete GGU-model.
GENERAL GRAND UNIFICATION PROBLEM. The problem is to produce a cosmogony that answers the question "Is physical physics legislated by cosmogony?" and this includes answers to the questions "How did our universe come into being?" and "Of what is empty space composed?"
GENERAL LANGUAGE. (This is a modification to the definition for a language as it appears in "The Theory of Ultralogics." This modification does not affect any of the results in that book.) A general language is the collection of all entities used, at the least, to produce general language descriptions. For this glossary, it is denoted by L. Other formal symbols are employed elsewhere. L, at least, contains strings of symbols, diagrams and "drawings" employed for defined linguistic purposes and that have been used by human beings in the past and through the moment you read this definition to convey information. Now with our ability to image the denumerable set of natural numbers, one may also included in this set a set of symbols used to denote elements of the set of natural numbers. The language also includes images or other devices that when considered by an individual yield mental or sensory impressions as well as machine duplicating sensory impressions. Thus, in general, an individual's mental or sensory impressions lead to the formation, from such an "alphabet," of L language descriptions.
As L is analyzed, addition symbols can be employed that are not part of the language. To avoid contradictions, other symbols are also omitted such the symbol L or other symbols for the set L itself. That is, L is not a member of L. In certain defined cases, symbols from L are employed as "representations" for members of *L that are not members of L. L contains infinitely many combinations of "words, where only a finite number of these have been employed by humankind throughout this moment. Hence, *L also contains these unused standard word-elements, which an higher-intelligence can employ to further detail a standard word-form description as it appears in an *UWFF. Technically, when the expression "general language description" is employed for members of a UWFF certain members of *L -L can be employed. Thus, the "full" description may not appear in an UWFF but it is to be understood that it does appear in the *UWFF.It is to be understood that when members of L are employed for any GID purpose, the members are assumed to be "comprehensible" to humankind.
The actual mathematical model does not directly model this general language but rather it models a coded representation L for the language. This representation has the same behavioral linguistic features as does L. It is for this reason that members of L can be employed to analyze the representation L.
GENERAL LANGUAGE DESCRIPTION. General (standard) language descriptions are combinations of general language terms that describe defined physical entities and their behavior. Such descriptions are intended to evoke within the same individual and others the same mental or sensory impression that originally produced the description. However, since these are to be modeled mathematically and represent numerously many universes, then such descriptions should be considered as conceptual rather than specific in character. Their properties are abstracted.
For the Complete GGU-model, a description needs to be considered as a general language linguistic representation for a design or pre-design. For this application, and in particular, for our universe, a general language description is a representation for physical-events. Aspects of the physical-like or other events are represented by members of the predicted higher-language. Being conceptual in character and the Complete GGU-model descriptions are often rather vague in character since the Complete GGU-model is a cosmogony that needs to produce various types of universes. The specific content of various system descriptions is external to the GID and GGU-models and, when content is considered, it is termed as an INTERPRETATION.
The standard language L contains infinitely many combinations of "words," where only a finite number of these have been employed by humankind throughout this moment. Hence, the "hyper" language, *L, also contains these unused standard word-elements, which an higher-intelligence can employ to further detail standard word-form descriptions as they describe physical-systems that are contained in each of the 3-D "hyper" slices of a universe, the *UWFF. There are predicted objects that "behave like" descriptions and we can have no detailed knowledge as to their composition. Each general language description can also be represented as a "set" of descriptions. Further, a description (understood to be a general language description) can be represented by single constructed entity termed a "word." Word theory relative to the standard language is applied.
The GID-model employs general language descriptions for entities and behavior as they are defined by the various physical science-communities, descriptions that characterize physical-systems. When the term "language" is used it refers to a general language. When descriptions directly correspond to science-community defined physical reality, then such a reality is composed of physical-events. The modifier "physical" is often understood. Modern science also describes not observable entities and processes, which can be either real or merely imaginary. As an analogue model such descriptions can also be included.
Finally, it is general practice within mathematical logic to use the same term in two or more different contexts. Although I try to avoid it, a term may be used for an actual string of symbols or the abstract entity that represents that string. Further, certain nonstandard mathematical entities such as the infinitesimals and infinite numbers are, for the Complete GGU-model, not considered as members of the standard language.
GID = GID-MODEL = GENERAL INTELLIGENT DESIGN MODEL.
GID-DESIGN. GID-design is a form of atemporal "pre-design." This notion of design is related to the rational structure and rational presentation of the designs and need not be directly related to a designs "content." It is often expressed in its highly significant verbal form - to design via intelligent agency. For example, each UWFF is intelligently designed relative to the step-by-step intertwining of each designed physical-system. When contextually understood, the prefix "GID" is often omitted. The symbols used for standard GID-design are rationally produced general language descriptions that represent physical-systems. The term "rational" indicates that the descriptions are sequentially presented in a step-by-step manner by a special rule for rational thought. Logical formations via the logic-system and the logic-system algorithm are the approach, an approach that includes all aspects of classical logic. The descriptions for the designed physical-systems are consistent with the detailed designs accepted by the majority of the members of various physical science communities. Future alterations in physical-system described design does not invalidate the higher-intelligence pre-design notion. It merely verifies the predicted "lack of knowledge model." Hence, for various cases, the pre-designed descriptions may be considered as conceptual rather than highly specific in character.
The "thought" notion is a primitive. As such, the concept of "thoughts" as represented, as modeled, by a general language is probably analogue in character. The concept of rationality, in particular deduction, is defined relative to a general language. Hence, this is a behavioral model that predicts a partially describable type of higher-intelligence rationality, a rationality, which most likely we cannot otherwise comprehend. For various cases, the pre-designed descriptions may be considered by us as conceptual rather than highly specific in character. When an entity is "named" within such a description, then that name represents the collection of all of the known constituents, such as the known physical-systems, that are contained within the entity.
As represented by general language descriptions, via developmental paradigms, each sequential slice of a universe, a universe-wide frozen-frame (UWFF), is composed of physical-systems. The standard GID-design symbolic forms model the designed step-by-step rational production of each physical-system, the designed step-by-step rational intertwining of these physical-systems within each UWFF and the designed rational production of the sequence of universe producing UWFF. The GGU-model predicts *UWFF which can contain physical, physical-like or other types of systems. (See below under "predictable" the full definition for this term.) GID-design also refers to such additional predicted forms of pre-design as represented by the predicted higher-language and higher forms of rational thought. Further, GID-design represents any described alterations in the configurations that may occur from one *UWFF to another sequentially occurring *UWFF. That is, by comparison, the alterations are considered as GID-designed. Various alterations, relative to the UWFFs, may be predictable via described physical laws.
Of great significance is that it is predicted that a higher-intelligence using a higher-language *L can, in a mental sense, "easily" describe all physical-systems and all necessary UWFF in complete detail.
When predicting statements by applying hypotheses and standard logical discourse, the hypotheses are considered as predicted rationally produced results. The GID-model yields universes, not just our own. If there are verified describable correlations between developing systems for a universe, then, for this reason, these descriptions must be included as hypotheses for the models predictions. Under this obvious requirement, the verified physical laws and theories, for our universe, need to be part of the hypotheses. These laws are an added intelligent design feature.
However, the Complete GGU-model does NOT require alterations in any physical-system to corresponds to any descriptive. physical-law.
For our universe, IF there are general language descriptions that predict alterations in physical-systems, then the Complete GGU-model satisfies the "The Best Possible Unification for Any Collection of Physical Theories," http://www.arxiv.org/abs/physics/0306147 For GID, a second form of design means that which the first form depicts: the arrangements of the physical entities that yield the various patterns being depicted, the natural design, the natural patterns, the natural distinguishing aspects of the patterns and the natural distinguishing aspects of the physical entities that satisfy physical laws or processes. It is this "design" concept that general language descriptions represent.
There are other "designed" entities that are external to the design notion as applied to a UWFF. Such designs are based upon methods of describing physical processes and physical-laws. GID-design includes the intelligently designed GGU-model processes.
GID-INTELLIGENCE. GID-intelligence is composed of predicted higher-rational procedures and, when restricted to the physical universe, the basic human rational rules upon which the higher-rational predictions are based. Since, in general, human rational deduction is an aspect of human intelligence, then often I replace the term "rational" or "rational processes" with the term "intelligent." Hence, when stated, these two types of intelligence are considered differentiated one from the other either explicitly or implicitly. Thus, "intelligent" actions are represented by the application of the stated rules for rational thought as such applications are explicitly or implicitly applied to members of a general language. This includes rules for the linguistic construction of each pre-design description and a special form of ordered propositional deduction that yields the step-by-step GID-designs. Further, the model satisfies the consistent rational unification of all verified physical laws and physical theories. Since higher-intelligent actions are predicted from basic intelligent actions, this is a behavioral model that predicts a partially describable higher-intelligence form of rationality, a rationality we cannot otherwise comprehend. The term "higher-intelligence," if not directly identified, can refer to an ultranatural rationality or the rational behavior of an higher-intelligent immaterial entity (an agent). The term is rather contextually controlled. Such as "An higher-intelligence pre-designs various . . . ." or "Application of an higher-intelligence form of rational deduction. . . ." The two different meanings are often rather more subtle than these two examples AND both can apply. In both contexts, it is describable substratum behavior that is related to the *rules for rational deduction. [Note: As indicated, such predictions are based upon interpreting entities and their behavior via a mathematical structure. Since the structure employs various distinct technical languages, in some cases, only one of the languages is interpreted.]
Human beings learn by experience or education physical "cause and effect" actions. A specific physical action leads most probably to a specific physical result. It is due to the acquiring of such knowledge that we can function within our physical world. We mentally consider an action, and apply the action believing that a desired effect will be produced. A simply linguistic model for this is the "rule of detachment" as it is called in elementary textbooks. In terms of the basic logic-system algorithm and corresponding consequence operator properties, the rule of detachment (modus ponens) is modeled and is what is used as the foundation for GID-intelligence. Intelligence so defined has a comparative numerical measure.
Measurable standard GID-intelligence, relative to the UWFFs, refers specifically to the defined logic-system algorithm that deductively yields the descriptive structure of a designed physical-system, the sequentially intertwined physical-system descriptions for each UWFF and the sequentially presented collection of UWFFs descriptions. Other described behavior that, in general, exhibits deduction such as physical laws and the physical law alterations of physical-systems, also satisfy this intelligence definition via any form of the general logic-system and the logic-system algorithm. General logic-system deductions are equivalent to those produced by corresponding consequence operators.
In general, GID-intelligence is not dependent upon the content of a physical law and no descriptive physical law need actually exist that satisfies such descriptive behavior. GID-intelligence also includes application of additional rules for rationally presented descriptions. These includes additional aspects of the intelligence necessary to describe physical-systems and their relations one-to-another via a general language. Among these additional rules is the notion of choice. One can accept these rules as additional GID-intelligence features but, except for major aspects of the choice notion, these additional "intelligence" facets may not be representable via a mathematical model. As mentoned above, the verified physical laws and theories, for our universe, need to be part of the hypotheses. However, it is their rational structure that is being considered. These laws are an added intelligent design feature.
In general, for the GID-model and as restricted to the physical world (i.e. standard world), the term "rational" refers to specifically described actions human beings employ to produce and manipulate general descriptions. Higher-intelligence actions are predicted from these standard actions.
Most accepted quantum physics entities are not directly observable. Observations predicted from these assumed entities yield indirect evidence for their exitance. The "higher" intelligence aspects of the GID-model are established via indirect evidence.
A second form of GID-intelligence is application of a rule that requires a specific count to be made. GID-intelligence is measurable.
Of considerable significance is that, relative to physical behavior, GID-intelligence is falsifiable. The higher-intelligence predicted from standard GID-intelligence, when restricted to the observable physical world, is standard GID-intelligence and, hence, would be countered if standard GID-intelligence is falsified.
GID-INTELLIGENT AGENT, AGENCY (ACTIONS). A GID and a Complete GGU-model intelligent agent is an entity that possesses infinitely powerful modes of rational behavior as modeled by deductive reasoning. When referring to either the GID or Complete GGU-models, the phrase "intelligent agency" means "intelligently designed actions."
GID-INTELLIGENT DESIGN. GID-intelligent design corresponds to the actions that satisfy the same patterns that are specified by GID-intelligence. These patterns are relative to the defined forms of GID-design and constitute intelligent agency (actions). The first major form is the presentation of the descriptions. Under this classification, the rationality of the intelligent actions must be pre-designed. Such actions, at the least, lead to the physical-systems via a GGU-model scheme. Hence, necessarily, all such physical-systems are considered, under this definition, to be rationally pre-designed. For our universe, standard evidence for such pre-design are the accepted physical laws and predictive physical theories.
Significantly, the first type of GID-design corresponds indirectly to the second form of design and to rational actions that specify these patterns as defined under GID-design. It is these rationally generated patterns, produced via intelligent agency, that yield the formation of the corresponding physical events being so described. NOTE. When it is contextually understood, the prefix "GID" is often dropped.
HIGHER-INTELLIGENCE AGENCY (ACTIONS). The higher-intelligence, at the very least, has unlimited power to rationally design and produce various scenarios, where the details of the scenarios need not be fully describable either mathematically nor otherwise via a standard general language. This restriction to our knowledge is verified by the predicted "lack of knowledge model."
INTERTWINE(D). To be closely related rationally.
LINGUISTIC (USUALLY) = GID-LINGUISTIC = MEMBERS OF *L.
METALANGUAGE. In logic and linguistics, a metalanguage is a language used to describe another language, often called the object language. For the GID and GGU-models, the metalanguage is to be understood as all of the language elements employed to annalize the language L. As mentioned in the book, "The Theory of Ultralogics" such a language uses members of L but it is to be considered as written in a different color or font. This is not generally done in my publications, BUT it is assumed to be understood by the reader. Indeed, this entire book, can be considered expressed in the metalanguage. Also note that certain conventions are followed. For example, it may be written as N ⊂ *N, where standard N may be a member of L. But this is a convention, where the actual notation is metalanguage notation σN ⊂ *N. The set σN has, within the nonstandard model, all the same mathematically represented properties as set-theoretically defined N. The GID and GGU-model interpretations are fixed interpretations of the metalanguage analysis.
MINDOM. A noun or adjective that means physical-system behavior that is intelligently designed, and produced, sustained or guided by intelligent actions via the Complete GGU-model, and the patterns displayed are claimed to be either (1) modeled by a probability model, or (2) composed of individual or group events that are considered as unregulated or unpredictable via other forms of scientific analysis, or (3) be randomly produced as this term is generally understood.
NONSTANDARD PHYSICAL WORLD MODEL. (NSP-world) (This is a change from the book.) This is composed of all defined and predicted nonstandard and standard entities that correspond, in any manner, to a defined physical world. Hence, it includes the standard physical world. Since it includes such notions as the ultranatural events, ultranatural theories and, the like, then aspects of this world need not correspond to any physical or physical-like behavior. The notion of the "physical world" can be extended. In such a case, portions or all members of the NSP-world that are not objects can be considered as unobservable physical entities or physical processes. Further, the notion of an analogue model can be applied in that these additional objects and processes needed not be the actual ones that yield behavior, but mimic behavior that may not be describable in any other way. The NSP-world (ultranatural-world) entirely refers to the collection of all *UWFF that comprise our universe.
OBSERVER TIME. For universes in general and the refinements to the original GGU-model, observer time is merely the general name given to the "standard" coded index names for each UFWW, where changes in physical-system behavior are related to measurable time. It is a subsequence of the primitive sequence. This notion is only used as an aid to comprehension.
PARADIGM. This is a clear and typical pattern.
PHYSICAL. This means entities or behavior that can be perceived through human or machine senses or, but need not be, what is accepted by various science-communities as "real" but unobservable entities or behavior.
PHYSICAL EVENT. A physical event is a physical form, a physical pattern, a physical phenomenon, a physical object or system in the sense that it yields human or machine sensory-impressions or is accepted to exist by a science-community. It is considered as an actual real event associated with defined physical entities.
PHYSICAL (NATURAL) LAW.(To satisfy or verify.) For the Complete GGU-model, this is a general language statement of the following type. As described by a developmental paradigm, a physical-system description f(i,j) is altered at the next moments f(i,j +k) (or f(i + 1,j)) in the development of a GID universe. The statement uses aspects of f(i,j) and rationally predicts aspects of the altered physical-system descriptions. The law is said to "satisfy" the development in the sense of satisfying the relation (f(i,j),f(i, j +k)) etc. From this viewpoint, the GID-model is not dependent upon the actual description that mimics the physical event behavior that it depicts. That is, it satisfies the statement that a specific cause yields a specific effect (event). The model does not specify the content of a physical law that yields such a "cause and effect" statement. Indeed, it has been shown that all so-called probabilistic behavior can be considered as examples of "mindom" behavior.
PHYSICAL-LIKE SYSTEM. This is a system or entity that behaves like a physical-system or entity within our universe but it is not a system nor entity that is entirely a member of a standard universe. Although it behaves like a physical-system, a physical-like system can be entirely composed of entities not defined as physical.
PHYSICAL-SYSTEM. This is a defined collection of one or more "named" physical objects, the constituents, which, if more than one, are so related as to form an identifiable whole. Specific linguistically described relations between the constituents, if more than one, are the bases for establishing the behavior of the entire structure. Contextually, it can refer either to a description for the collection or the physical event. Prior to "realization," such systems should be considered as conceptual. For my articles, the accepted entities and the specific relations between them are those which are accepted by secular physical science as of the date of the article.
PREDICTABLE. For the standard physical-systems, the GGU-model produces the entities and their behavior. It upholds the rational structure for the physical-systems and yields the rational production of a universe. The specific content of these system descriptions is external to these models and is termed as an INTERPRETATION. Relative to the physical world, the Complete GGU-model "predicts" in the sense of physical cosmology in that the actual, in this case pre-designed, described systems exist and have the predicted rational properties. Further, the model "predicts" physical-like and other non-physical systems as well as producing "higher" rational forms for the production of such entities. Hence, for the terms denoted with the prefix "higher," the Complete GGU-model predicts the entities and their "higher" properties. When the term "predict" is employed for the Complete GGU-model it should be understood as here described.
For the terms denoted with the prefix "higher," these models predict the entities and their "higher" properties. When the term "predict" is employed for the Complete GGU-model it should be understood as here described.
PRIMITIVE SEQUENCE. This is a name that somewhat hides its intuitive meaning. It refers to the notion of the sequence of entities of various types. It is, usually, of three different types, standard, nonstandard and hyperfinite. Its properties are determined by the ordering of the "numbers" being used. These numbers are coded index names for the various types of UWFFs AND for the various types of systems of which they are composed. The terms "past, present, future" are not employed. But, such terms as "prior, before, after" are used to indicate a comparison of the order of entities.
PRIMITIVE TIME = PRIMITIVE SEQUENCE.
SATISFIES (VERIFIES). The Complete GGU-model presents the step-by-step design and production of a universe via a specific rational procedure as linguistically expressed. As an additional feature, for certain universes, there may also exist linguistically expressed "cause and effect" statements. If C denotes a "cause" and E denotes an "effect," then such a statement is "If C, then E." IF this conditional is consider as factual, then if C occurs, then E is rationally predicted. The Complete GGU-model upholds this cause and effect rational structure.
SCHEMES (GGU-MODEL). These are symbolic representations for a sequences of processes or actions to be followed. They do not present the linguistic rational manipulation rules. The manipulations for the processes or actions are stated via the more general meta-language and various interpretations. It is important that one understands that each aspect of a GGU-model scheme is composed of "linguistic" expressions taken from the predicted language *L and they are manipulated by other linguistic expressed take from a metalanguage. As with physical science, in general, these linguistic expressions correspond to entities that exist within the substratum that satisfy the behavioral patterns being depicted.
SET-THEORY EMPLOYED. For the GD, GID and GGU-models, the set theory employed is informal Zermelo-Fraenkel set-theory with axiom of choice and atoms (urelements, individuals).
SCIENCE. A systematically organized and studied body of knowledge about a particular subject. The subject determines the rules employed for this purpose.
ULTRANATURAL EVENT. An event that takes place within the pure NSP-world. (For the GGU-model, the substratum.) The hyper-UWFF (*UWFF) that occurs at a nonstandard primitive sequence value can be such an event. This event often affects indirectly natural events. In very special cases, we can have some knowledge about such events. But, we cannot have detailed knowledge. The term is contextually controlled.
ULTRANATURAL SYSTEMS. There are three types of "systems;" the physical, physical-like, and the ultranatural. An ultranatural system is contained in an *UWFF and is not a physical-system in that it contains no named physical entities. However, they are often termed as physical-like due to possible similar patterns of behavior. Physical-like systems usually contain an ultranatural subsystem.
UNIVERSE-WIDE FROZEN-FRAME (UWFF). This is a general description that represents a slice of a universe at any fixed moment in observe-time and for any developmental paradigm. Thus, a UWFF represents the physical event that comprises each physical event that occurs throughout a universe at a specific moment. Relative to spatial descriptions for events, they are described relative to each other. There are similar types of primitive sequence representatives that behave like this object. Usually, this exact term is not used to identify these similar physical-like slices.